JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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\left( {{{\tan }^2}\frac{\pi }{7} + {{\tan }^2}\frac{{2\pi }}{7} + {{\tan }^2}\frac{{3\pi }}{7}} \right)\left( {{{\cot }^2}\frac{\pi }{7} + {{\cot }^2}\frac{{2\pi }}{7} + {{\cot }^2}\frac{{3\pi }}{7}} \right)

is equal to

View answer and explanation

Correct option: B

105

Option B (105) is correct because by using trigonometric identities and Vieta's formulas, the expression simplifies to 105.

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